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11000022112112 = 24111972936911567
BaseRepresentation
bin1010000000010010010001…
…1010010001011101110000
31102221120222110021002102112
42200010210122101131300
52420211021130041422
635221201305304452
72213503542140165
oct240044432213560
942846873232375
1011000022112112
1135610a0792090
121297a65195128
1361a3b3b96947
142a059249006c
151412085c5ee2
hexa0124691770

11000022112112 has 160 divisors (see below), whose sum is σ = 23496740112384. Its totient is φ = 4947317222400.

The previous prime is 11000022112081. The next prime is 11000022112139. The reversal of 11000022112112 is 21121122000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7019796353 + ... + 7019797919.

Almost surely, 211000022112112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000022112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11748370056192).

11000022112112 is an abundant number, since it is smaller than the sum of its proper divisors (12496718000272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11000022112112 is a wasteful number, since it uses less digits than its factorization.

11000022112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11000022112112 its reverse (21121122000011), we get a palindrome (32121144112123).

The spelling of 11000022112112 in words is "eleven trillion, twenty-two million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 197 293 394 586 691 788 1172 1382 1567 1576 2167 2344 2764 3134 3152 3223 4334 4688 5528 6268 6446 7601 8668 11056 12536 12892 15202 17237 17336 25072 25784 30404 34474 34672 51568 57721 60808 68948 115442 121616 136127 137896 202463 230884 272254 275792 308699 404926 459131 461768 544508 617398 634931 809852 918262 923536 1082797 1089016 1234796 1269862 1497397 1619704 1836524 2165594 2178032 2227093 2469592 2539724 2994794 3239408 3395689 3673048 4331188 4454186 4939184 5050441 5079448 5989588 6791378 7346096 8662376 8908372 10100882 10158896 11910767 11979176 13582756 17324752 17816744 20201764 23821534 23958352 27165512 35633488 39885211 40403528 47643068 54331024 79770422 80807056 90448807 95286136 159540844 180897614 190572272 213311009 317259521 319081688 361795228 426622018 438737321 634519042 638163376 723590456 853244036 877474642 994936877 1269038084 1447180912 1706488072 1754949284 1989873754 2346421099 2538076168 3412976144 3489854731 3509898568 3979747508 4692842198 5076152336 6979709462 7019797136 7959495016 9385684396 13959418924 15918990032 18771368792 27918837848 37542737584 55837675696 62500125637 125000251274 250000502548 500001005096 687501382007 1000002010192 1375002764014 2750005528028 5500011056056 11000022112112